nsherve,
Trapping is taking a bow with a rectangular cross-section and shaving the corners off the back of the bow to give it a trapezoidal cross-section(hence the name). It makes the back narrower than the belly.
As i understand it, they both serve a similar purpose....evening the stresses between the belly and back of woods that are tension strong and compression weak. Trapping essentially reduces mass without reducing draw weight (or not by much) and allowing the belly to have more wood to handle compression. Tempering is kind of opposite in a way.... increasing compression strength of belly which also adds to the draw weight without adding mass. Seems like somebody on PA (who had a lot more experience than me with both) felt they both accomplish the same purpose. In a way i guess they do, but i can see some designs being more favorable to one or the other. I've used both, but mostly tempering.
Seems like this discussion may have been had before